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The equation \(x^2 + y^2 - 2x - 4y +5 = 0\) represents

Question and options

The equation x2+y2−2x−4y+5=0x^2 + y^2 - 2x - 4y +5 = 0 represents
  1. a pair of straight lines
  2. a circle
  3. an ellipse
  4. a point

Answer and explanation

Correct answer: D - a point
Completing squares: (x-1)^2+(y-2)^2 = 0, satisfied only by (1,2), so it is a point (circle of radius 0).

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